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Finding the Third Proportional to 9,830,588 and 15,263,468

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Solution

The third proportional to 9,830,588 and 15,263,468 is: 23,698,832.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830,588 : 15,263,468 = 15,263,468 : x
  2. Step 2: Convert to fraction form
    9,830,588/15,263,468 = 15,263,468/x
  3. Step 3: Cross multiply
    9,830,588x = 15,263,468 × 15,263,468
  4. Step 4: Simplify right side
    9,830,588x = 232,973,455,387,024
  5. Step 5: Solve for x
    x = 232,973,455,387,024/9,830,588
  6. Step 6: Final answer
    x = 23,698,832.19

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.